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# Sec. 1.6 equations and mental math

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### Sec. 1.6 equations and mental math

1. 1. Learning Target:Students will learn how to solve equations using mental math.<br />
2. 2. Equation: has an = between two expressionsSolution: is when you substitute the number for the variable and it makes the equation true.<br />
3. 3. Tell whether the given number is a solution to the equation.9x = 36 ; 4y – 6 = 11 ; 163x = 39 ; 13<br />
4. 4. 9(4) = 36 36 = 36yes16 – 6 = 1110 11 no3(13) = 3939 = 39yesYou need to prove your answer.<br />
5. 5. We are going to use mental math to solve the equations. Here are some properties that might be helpful to keep in mind.<br />
6. 6. Identity Property of Addition# + 0 = #Identity Property of Multiplication# ( 1 ) = #Multiplication Property of 0# ( 0 ) = 0<br />
7. 7. Solve the equations using mental math.X + 10 = 2413n = 1318 / p = 935y = 0m – 4 = 629q = 54<br />
8. 8. Answers:x = 14n = 1p = 2y = 0m = 66q = 6<br />
9. 9. Write the question as an equation and solve the equation.What number divided by 4 equals 7.What number minus 8 equals 4.<br />
10. 10. Answers:x / 4 = 7x = 28y – 8 = 4y = 12<br />
11. 11. Can you solve equations using mental math? <br />